Pith Number

pith:5JZCLZUX

pith:2018:5JZCLZUXIJMHMH3QJBA4OSPGHG

not attested not anchored not stored refs pending

Heun functions related to entropies

Adina Barar, Gabriela Raluca Mocanu, Ioan Rasa

arxiv:1801.05004 v1 · 2018-01-08 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JZCLZUXIJMHMH3QJBA4OSPGHG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:25:50.327450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7225e6974258761f704841c749e639982cbb4a42626f1e53178c0a40f428fd

Aliases

arxiv: 1801.05004 · arxiv_version: 1801.05004v1 · doi: 10.48550/arxiv.1801.05004 · pith_short_12: 5JZCLZUXIJMH · pith_short_16: 5JZCLZUXIJMHMH3Q · pith_short_8: 5JZCLZUX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5JZCLZUXIJMHMH3QJBA4OSPGHG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ea7225e6974258761f704841c749e639982cbb4a42626f1e53178c0a40f428fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "545a33e496fa6eb5330839c9fd7ef6fb8fc6c9e0e9c9e03e408abde7fd0ffc73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-08T13:24:30Z",
    "title_canon_sha256": "c259441124ef4f31704ed1d50fc2ab05b34cd9b96e8a5f452f7712d1d9f67f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05004",
    "kind": "arxiv",
    "version": 1
  }
}